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  "body": "\n## Definition\n\nA *continuum* is a nonempty [[metric space|0VKD1TP7F3]] that is [[compact|0TVJZYB6SH]] and [[connected|0V032VWTHD]].\nA continuum is *nondegenerate* if it has more than one point.\nA *subcontinuum* of a continuum $X$ is a subset of $X$ that is a continuum in the induced metric.\n\n## Remarks\n\nThe closed interval $[0, 1]$ is a continuum: it is compact by the Heine–Borel theorem and connected because it is an [[interval|0Q1D85B8G6]].\nThe set $[0, 1] \\cup [2, 3]$ is compact but not connected, so it is not a continuum.\nSome authors define a continuum as a nonempty compact connected [[Hausdorff space|0S1FJ8VEX9]], and call the metric ones metric continua.\nThe intersection of a decreasing sequence of continua is a continuum.\n\n## Explanations\n\n### L1 human\n\nA continuum is a compact space in one piece.\nArcs, circles and filled squares are continua.\n",
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